广义Baskakov-Bézier算子的逼近

On the approximation of the generalized Baskakov-Bézier operators

定义了广义Baskakov-Bézier算子,并应用一阶Ditzian-Totik模和K泛函得到了广义Baskakov-Bézier算子逼近的正、逆定理以及等价定理,即当且仅当ω_~λ(f,t)=O(t~δ),其中,0≤λ≤1,0<δ<1,(x)=(x+(1+βx))^(1/2).

In this paper, We define the generalized Baskakov-Bezier operators, We give the direct and inverse approximation theorems and equivalent theorem for generalized Baskakov-t36zier operators with the first order Ditzian-Totik modulus of smoothness and K functional, i.e.｜Vn,a^＊（f,x）-f（x）｜=O（（φ1-λ（x）/√n）^δ/2）if and only ifωφ^λ（f,t）=O（t^δ）.（0≤λ≤1,0〈δ〈1,φ（x）=√x（1＋βx）.